incomplete beta function

incomplete beta function

[‚in·kəm′plēt ′bād·ə ‚fəŋk·shən]
(mathematics)
The function βx (p,q) defined by where 0 ≤ x ≤ 1, p > 0, and q > 0.
References in periodicals archive ?
1] (1, b; c; z) = [phi](b; c; z) is known as incomplete beta function.
The area of a spherical cap can also be described using the incomplete Beta function.
where B (x; a, b) is the incomplete Beta function [6J and B (a, b) is the Beta function.
6 is variously called the incomplete Beta function ratio [9, Chapter 25, p.
Tables of the Incomplete Beta Function, Cambridge University Press, Cambridge, UK, first edition (1934).
1/[beta]] : [beta] + 1/[delta], 1 - 1/[delta]] is the incomplete beta function with parameters ([beta] + 1/[delta], 1 - 1/[delta]), and B [[beta] + 1/[delta], 1 - 1/[delta]] is the beta function with parameters ([beta] + 1/[delta], 1 - 1/[delta]).
Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function.